Question

find the probability of getting any triple - digit number where all the digits are the same in a lottery game that consists of selecting a three - digit number.(express your answer as a decimal, do not round.)the probability of getting any triple - digit number where all the digits are the same is

Explanation:

Step1: Calculate total number of three - digit numbers

The smallest three - digit number is \(100\) and the largest is \(999\). The total number of three - digit numbers is \(999 - 100+1=900\).

Step2: Calculate number of three - digit numbers with all digits same

The three - digit numbers with all digits same are \(111,222,\cdots,999\). So there are \(9\) such numbers.

Step3: Calculate the probability

The probability \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). Here, \(P = \frac{9}{900}\).
Simplify \(\frac{9}{900}=\frac{1}{100}=0.01\)

Answer:

\(0.01\)